For the following probability distribution: `X :\ 1\ 2\ \ 3\ 4` `P(X):1//10\ 1//5\ \ 3//10\ 2//5` The value of `E(X^2)` is `3` b. `5` c. `7` d. 10

Explanation

`E(X^{2})=1^{2} times frac{1}{10}+2^{2} times frac{1}{5}+3^{2} times frac{3}{10}+4^{2} times frac{2}{5}`

`
=frac{1}{10}+frac{8}{10}+frac{27}{10}+frac{64}{10}`

`
=frac{100}{10}`

`
=10`